Syndrome measurements enable deterministic fault-tolerant T gates

arXiv:2609.29890 · quant-ph · Submitted 2026-09-24 · Read on arXiv

quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Verification — 46× in this paper · explained in 2 episodes
• Trace — 14× in this paper · explained in 2 episodes
• Calibration — 5× in this paper · explained in 7 episodes
• Distillation — 5× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Stabilizer States — 3× in this paper · explained in 2 episodes
• Verifier — 3× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Anyons — 1× in this paper · explained in 2 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Hypergraph — 1× in this paper · explained in 2 episodes

Sources

• Magic state cultivation: growing T states as cheap as CNOT gates
• Efficient magic state cultivation with lattice surgery
• Efficient Magic State Cultivation on $\mathbb{RP}^2$
• Magic state cultivation on a superconducting quantum processor
• Code Deformation and Lattice Surgery Are Gauge Fixing
• Experimental Demonstration of High-Fidelity Logical Magic States from Code Switching
• Low-Overhead Code Concatenation Approaches for Universal Quantum Computation
• In-Situ Simultaneous Magic State Injection on Arbitrary CSS qLDPC Codes
• Practical quantum advantage on partially fault-tolerant quantum computer
• Fault Tolerant Non-Clifford State Preparation for Arbitrary Rotations
• Compilation of Trotter-Based Time Evolution for Partially Fault-Tolerant Quantum Computing Architecture
• STAR-Magic Mutation: Even More Efficient Analog Rotation Gates for Early Fault-Tolerant Quantum Computer
• Transversal architecture for megaquop-scale quantum simulation with neutral atoms
• Designing the Quantum Channels Induced by Diagonal Gates
• Theory and Architecture of Syndrome-Resolved Logical Gates
• A robust phase of continuous transversal gates in quantum stabilizer codes
• Flagging the Clifford hierarchy:~Fault-tolerant logical $\frac{\pi}{2^l}$ rotations via measuring circuit gauge operators of non-Cliffords
• Quantum Error Correction via Codes over GF(4)
• High-rate qLDPC processors

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